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Finding the Fourth Proportional to 389,686.80, 537,822 and 228,594

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Solution

The fourth proportional to 389,686.80, 537,822 and 228,594 is: 315,491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,686.80 : 537,822 = 228,594 : x
  2. Step 2: Convert to fraction form
    389,686.80/537,822 = 228,594/x
  3. Step 3: Cross multiply
    389,686.80x = 537,822 × 228,594
  4. Step 4: Simplify right side
    389,686.80x = 122,942,882,268
  5. Step 5: Solve for x
    x = 122,942,882,268/389,686.80
  6. Step 6: Final answer
    x = 315,491.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.